Finding the Third Proportional to 52,224 and 110,401

Step by Step Solution

1. Step 1: Write the proportion equation
   52,224 : 110,401 = 110,401 : x
2. Step 2: Convert to fraction form
   52,224/110,401 = 110,401/x
3. Step 3: Cross multiply
   52,224x = 110,401 × 110,401
4. Step 4: Simplify right side
   52,224x = 12,188,380,801
5. Step 5: Solve for x
   x = 12,188,380,801/52,224
6. Step 6: Final answer
   x = 233,386.58